Universal location of Yang-Lee edge singularity in classic O(N) universality classes

Abstract

Employing the functional renormalization group approach at next-to-leading order of the derivative expansion, we refine our earlier findings for the location of the Yang-Lee edge singularity in classic O(N) universality classes. For the universality classes of interest to QCD, in three dimensions, we found $|z_c|/R_{\chi }^{1/\gamma }=1.612(9),1.597(3)$ for $N=2$, $4$ correspondingly. We also established $|z_c|=2.04(8),1.69(3)$ for $N=2$, $4$ albeit with greater systematic error.

36 pages; 6 figures; version accepted for publication

References in corpus (17)

• Exact evolution equation for the effective potential
• Ising exponents from the functional renormalisation group
• Critical exponents of the 3d Ising and related models from Conformal Bootstrap
• Taylor expansions and Padé approximants for cumulants of conserved charge fluctuations at non-vanishing chemical potentials
• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• Critical exponents of O(N) models in fractional dimensions
• High-accuracy scaling exponents in the local potential approximation
• Critical $O(N)$ models in the complex field plane
• 2D Ising Field Theory in a Magnetic Field: The Yang-Lee Singularity
• Scaling functions for the O(4)-model in d=3 dimensions
• Analytical structure of the equation of state at finite density: Resummation versus expansion in a low energy model
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• A Monte Carlo study of the three-dimensional XY universality class:Universal amplitude ratios
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Three-dimensional $O(N)$-invariant ${\varphi }^4$ models at criticality for $N\ge 4$
• Uniformizing Lee-Yang Singularities
• Universality, Lee-Yang singularities and series expansions

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